Sony USA has just released a new firmware update version 05 for Sony FE 70-200mm f/2.8 GM OSS lens. You can download this firmware update here.
Here is the detail of this firmware update:
This update (version 05) improves the accuracy of the contrast AF at distant shooting, making it easier to focus when the aperture is narrowed down to F11 or higher.
Note: The lens must be attached to an E-mount body camera to perform this update. The NEX-5, NEX-3, NEX-C3, NEX-VG10, and PXW-FS7 model cameras cannot be used.